Generalized Ultrastrong Optomechanics

TL;DR

This paper introduces a scheme to achieve tunable ultrastrong optomechanical coupling in a two-mode system, enabling advanced quantum effects and operations with potential experimental realization.

Contribution

It presents a novel method to realize and control ultrastrong optomechanical interactions using a driven two-mode cross-Kerr system, enhancing quantum effects.

Findings

Coupling strength can be significantly enhanced to reach ultrastrong regime.

Tunable quadrature phase enables geometric quantum operations.

Numerical simulations confirm the scheme's effectiveness over a wide parameter range.

Abstract

We propose a reliable scheme to realize a generalized ultrastrong optomechanical coupling in a two-mode cross-Kerr-type coupled system, where one of the bosonic modes is strongly driven. The effective optomechanical interaction takes the form of a product of the photon number operator of one mode and the quadrature operator of the other mode. The coupling strength and quadrature phase are both tunable via the driving field. The coupling strength can be strongly enhanced to reach the ultrastrong-coupling regime, where the few-photon optomechanical effects such as photon blockade and macroscopically distinct quantum superposition become accessible. The presence of tunable quadrature phase also enables the implementation of geometric quantum operations. Numerical simulations show that this method works well in a wide parameter space. We also present an analysis of the experimental implementation of this scheme.